Duality in Supersymmetric SU($N_c$) Gauge Theory with Two Adjoint Chiral Superfields

Details Duality in Supersymmetric SU($N_c$) Gauge Theory with Two Adjoint Chiral Superfields Duality in Supersymmetric SU($N_c$) Gauge Theory with Two Adjoint Chiral Superfields

1996-06-03

arxiv.org/abs/hep-th/9605232v1

Nucl.Phys. B478 (1996) 123-140

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, harvmac, tables

Scientific paper

10.1016/0550-3213(96)00416-6

We discuss $SU(N_c)$ gauge theory coupled to two adjoint chiral superfields $X$ and $Y$, and a number of fundamental chiral superfields $Q^i$. We add a superpotential that has the form of Arnold's $D$ series $W = \Tr X^{k+1} + \Tr XY^2$. We present a dual description in terms of an $SU(3kN_f - N_c)$ gauge theory, and we show that the duality passes many tests. At the end of the paper, we show how a deformation of this superpotential flows to another duality having a product gauge group $SU(N_c)\times SU(N_c')$, with an adjoint field charged under $SU(N_c)$, an adjoint field charged under $SU(N_c')$, fields in the $(N_c,N_c')$ and $(\overline N_c,\overline N_c')$ representation, and a number of fundamentals. The dual description is an $SU(2kN_f' + kN_f - N_c')\times SU(2kN_f + kN_f' - N_c)$ gauge theory.

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